Least Common Multiple of 470/33, 141/28, 181/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 470/33, 141/28, 181/96 quickly i.e. 255210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 470/33, 141/28, 181/96 is 255210.

LCM(470/33, 141/28, 181/96) = 255210

LCM of 470/33, 141/28, 181/96

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 470/33,141/28,181/96

Given numbers are 470/33,141/28,181/96

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 470,141,181

Least Common Multiple of Numerators i.e. LCM of 470,141,181 is 255210.

GCF of Denominators means GCF of 33,28,96 as per the given fractions.

GCF of 33,28,96 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 470,141,181

LCM of Fractions 470/33,141/28,181/96 is 255210

47 470, 141, 181
10, 3, 181

∴ So the LCM of the given numbers is 47 x 10 x 3 x 181 = 255210

Least Common Multiple of 470,141,181 with GCF Formula

Least Common Multiple of 470,141,181 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 470,141,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,141,181) = 1

common factors(in case of two or more numbers have common factors) = 47

GCF(470,141,181) x common factors =1 x 47 = 47

LCM(470,141,181) = ( 470 × 141 × 181 ) / 47

LCM(470,141,181) = 11994870 / 47

LCM(470,141,181) = 255210


Lets's calculate GCF of 33,28,96

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255210/1

Therefore the LCM of Fractions 470/33,141/28,181/96 is 255210

Greatest Common Factor of 33,28,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,28,96 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Greatest Common Factor

We found the factors 33,28,96 . The biggest common factor number is the GCF number.
So the greatest common factor 33,28,96 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 470/33, 141/28, 181/96

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 470/33, 141/28, 181/96?

Answer: LCM of Numerators as per given numbers 470/33, 141/28, 181/96 is

LCM of Numerators i.e. for 470,141,181 is 255210

GCF of denominators i.e. for 33,28,96 is 1.

Thus, LCM of Fractions is 255210.Finally, LCM of Fractions for 470/33, 141/28, 181/96 is 255210.